Lesson 5 Homework 4 5
Lesson 5: Decompose unit fractions using area models to show equivalence.
Name Date
1. Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
a. 3 rows
b. 2 rows
c. 4 rows
1 2 = 3 1
2 = 1
6+ + = 3 6 1
2 = 3 × = 3
6
A STORY OF UNITS A STORY OF UNITS
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Lesson 5 Homework 4 5
Lesson 5: Decompose unit fractions using area models to show equivalence.
2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.
a. 1
3 = 2
6 b. 1
3 = 3
9
c. 1
3 = 4
12 d. 1
3 = 5
15
e. 1
5 = 2
10 f. 1
5 = 3
15
3. Explain why 1
12+ 1
12+ 1
12+ 1
12 is the same as 1
3.
A STORY OF UNITS A STORY OF UNITS
G4-M 5-SE-1.3.0-06.2015
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©2015 Great Minds. eureka-math.org